Research Output per year
Research Output 2000 2019
2017
Center manifolds of coupled cell networks
Rink, B. W., Nijholt, E. C. & Sanders, J. A., 2017, In : SIAM Journal on Mathematical Analysis. 49, 5, p. 4117-4148Research output: Contribution to Journal › Article › Academic › peer-review
Center Manifold
Cell
Machinery
Dynamical systems
Vector Field
Projection blocks in homogeneous coupled cell networks
Rink, B. W., Nijholt, E. C. & Sanders, J. A., 2017, In : Dynamical Systems-an International Journal. 32, 1, p. 164-186Research output: Contribution to Journal › Article › Academic › peer-review
Projection
Cell
Bifurcation
Feedforward Networks
Subset
2016
Graph fibrations and symmetries of network dynamics
Rink, B. W., Sanders, J. A. & Nijholt, E. C., 2016, In : Journal of Differential Equations. 261, p. 4861-4896Research output: Contribution to Journal › Article › Academic › peer-review
2014
Continuity of the Peierls barrier and robustness of laminations
Mramor, B. & Rink, B. W., 13 Mar 2014, In : Ergodic theory and dynamical systems. 26 p.Research output: Contribution to Journal › Article › Academic › peer-review
Lamination
Robustness
Coupled cell networks: semigroups, Lie algebras and normal forms
Rink, B. W. & Sanders, J. A., 2014, In : Transactions of the American Mathematical Society. 367, 5, p. 3509-3548 40 p.Research output: Contribution to Journal › Article › Academic › peer-review
Network architecture
Normal Form
Algebra
Lie Algebra
Semigroup
Coupled cell networks and their hidden symmetries
Rink, B. W. & Sanders, J. A., 2014, In : SIAM Journal on Mathematical Analysis. 46, 2, p. 1577-1609Research output: Contribution to Journal › Article › Academic › peer-review
Dynamical systems
Symmetry
Cell
Semigroup
Bifurcation
On the destruction of minimal foliations
Mramor, B. & Rink, B. W., 2014, In : Proceedings of the London Mathematical Society. 108, p. 704-737Research output: Contribution to Journal › Article › Academic › peer-review
Recurrence relation
Foliation
Twist Map
Lamination
Rotation number
The laminations of a crystal near an anti-continuum limit
Knibbeler, V., Mramor, B. & Rink, B. W., 2014, In : Nonlinearity. 27, p. 927-952Research output: Contribution to Journal › Article › Academic › peer-review
Lamination
Continuum Limit
laminates
Crystal
Twist Map
2013
A dichotomy theorem for minimizers of monotone recurrence relations
Mramor, B. & Rink, B. W., 2013, In : Ergodic theory and dynamical systems. 34 p.Research output: Contribution to Journal › Article › Academic › peer-review
Global Minimizer
Dichotomy
Recurrence relation
Minimizer
Monotone
Amplified Hopf bifurcations in feed-forward networks
Rink, B. W. & Sanders, J. A., 2013, In : SIAM Journal on Applied Dynamical Systems. 12, 2, p. 1135-1157Research output: Contribution to Journal › Article › Academic › peer-review
Feedforward Networks
Hopf bifurcation
Hopf Bifurcation
Dynamical systems
Feedforward
2012
Ghost circles in lattice Aubry-Mather theory
Mramor, B. & Rink, B. W., 2012, In : Journal of Differential Equations. 252, 4, p. 3163-3208Research output: Contribution to Journal › Article › Academic › peer-review
Open Access
Circle
Gradient Flow
Recurrence relation
Hamiltonians
Lattice vibrations
2009
Branching patterns of wave trains in the FPU lattice
Guo, S. J., Lamb, J. S. W. & Rink, B. W., 2009, In : Nonlinearity. 22, p. 283-299Research output: Contribution to Journal › Article › Academic › peer-review
Branching
Hamiltonians
Hamiltonian Structure
Bifurcation
Lyapunov-Schmidt Reduction
Fermi Pasta Ulam systems (FPU): mathematical aspects
Rink, B. W., 2009, In : Scholarpedia Journal. 4, 12, p. 9217-9217Research output: Contribution to Journal › Article › Academic › peer-review
Open Access
2006
Proof of Nishida's conjecture on anharmonic lattices
Rink, B. W., 2006, In : Communications in Mathematical Physics. 261, 3, p. 613-627Research output: Contribution to Journal › Article › Academic › peer-review
2004
A Cantor set of tori with monodromy near a focus-focus singularity
Rink, B. W., 2004, In : Nonlinearity. 17, p. 347-356Research output: Contribution to Journal › Article › Academic › peer-review
2003
Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice
Rink, B. W., 2003, In : Physica D. Nonlinear Phenomena. 175, p. 31-42Research output: Contribution to Journal › Article › Academic › peer-review
2002
Direction reversing traveling waves in the even Fermi-Pasta-Ulam lattice
Rink, B. W., 2002, In : Journal of nonlinear science. 12, p. 479-504Research output: Contribution to Journal › Article › Academic › peer-review
2001
Symmetry and resonance in periodic FPU chains
Rink, B. W., 2001, In : Communications in Mathematical Physics. 218, p. 665-685Research output: Contribution to Journal › Article › Academic › peer-review
2000
Near-integrability of periodic FPU-chains
Rink, B. W. & Verhulst, F., 2000, In : Physica A. Statistical Mechanics and its Applications. 285, p. 467-482Research output: Contribution to Journal › Article › Academic › peer-review